Rates and Proportions

Josh can type 126 words in 3 minutes. How many minutes will it take him to type 462 words?

• 9

• 10

• 11

• 12

A pet boarder keeps a dog-to-cat ratio of 4:3. If the boarder has room for 112 animals, then how many are dogs?

• 48

• 64

• 72

• 86

Which set of ratios is equivalent to 2:6

• 1:3 and 4:18

• 3:12 and 4:16

• 6:18 and 10:25

• 1:3 and 8:24

Noah is 5 feet and 4 inches tall. There are 2.54 centimeters in 1 inch. What is Noah's height in centimeters?

• 162.56

• 3.175

• 137.16

• 114.3

The distance between the school and the park is 8km. There are 1.6km in 1 mile. How many miles apart are the school and the park?

• 12.8

• 0.2

• 5

• 3.8

Three students wrote equivalent ratios on their dry erase boards.
A.  $\frac{2}{5}=\frac{30}{75}$  
B.  $\frac{6}{10}=\frac{18}{20}$  

C.  $\frac{12}{20}=\frac{48}{80}$  

Which of these students wrote an equation that is true?

• Student A and Student B

• Student A and Student C

• Student B and Student C

• Student C only

Harvard University accepts 8 students for every 100 applicants. How many students will be accepted if 425 students applied for admission?

• 56

• 28

• 42

• 34

The United States Air Force has 20 women for every 80 men enlisted. If a squadron has 450 members, how many are women?

• 64

• 90

• 112

• 150

Olivia pays $9.36 for 6 pounds of sugar. What is the price per pound of sugar?

• 1.12

• 1.56

• 2.42

• 3.12

On a family road trip, Mr. Hulsey travels 140 miles in 2 hours. At this rate, how many miles will he travel in 30 minutes?

• 26

• 2100

• 35

• 48